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Publications by K.-A Lie

Operator Splitting Methods for Systems of Convection–Diffusion Equations: Nonlinear Error Mechanisms and Correction Strategies

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
2001English

Related publications

Analysis of Operator Splitting in the Nonasymptotic Regime for Nonlinear Reaction-Diffusion Equations. Application to the Dynamics of Premixed Flames

SIAM Journal on Numerical Analysis
Computational MathematicsApplied MathematicsNumerical Analysis
2014English

On Splitting Methods for Schrödinger-Poisson and Cubic Nonlinear Schrödinger Equations

Mathematics of Computation
Computational MathematicsApplied MathematicsNumber TheoryAlgebra
2008English

A Uniqueness Condition for Nonlinear Convection-Diffusion Equations With Discontinuous Coefficients

Journal of Hyperbolic Differential Equations
MathematicsAnalysis
2009English

Local Error Estimates for a Finite Element Method for Hyperbolic and Convection-Diffusion Equations

SIAM Journal on Numerical Analysis
Computational MathematicsApplied MathematicsNumerical Analysis
1992English

Higher Order Iterative Operator Splitting Method for the 2D Convection Diffusion Equation With Variable Coefficients

Advances in Applied Mathematics
2017English

Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection-Diffusion Equations

American Journal of Computational Mathematics
2015English

Pseudospectra of the Convection-Diffusion Operator

SIAM Journal on Applied Mathematics
Applied Mathematics
1994English

Optimization Methods for Solving Systems of Hydrodynamics Nonlinear Equations

Vestnik Tomskogo Gosudarstvennogo Universiteta, Matematika i Mekhanika
Computational MechanicsMathematicsMechanics of MaterialsMechanical Engineering
2015English

Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations

SIAM Journal on Numerical Analysis
Computational MathematicsApplied MathematicsNumerical Analysis
2012English

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